Let P(x)=2x^3-4x^2+2x-1. Evaluate P(x) by substituting the given value of x into the polynomial and simplifying. Then evaluate the polynomial by using the remainder theorem and synthetic division. P(-4)

blogswput 2022-09-14 Answered
Let P ( x ) = 2 x 3 4 x 2 + 2 x 1.
Evaluate P(x) by substituting the given value of x into the polynomial and simplifying. Then evaluate the polynomial by using the remainder theorem and synthetic division. P(-4)
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Answers (1)

Karson French
Answered 2022-09-15 Author has 15 answers
P ( 4 ) = 2 x 3 4 x 2 + 2 x 1 write the function
= 2 ( 4 ) 3 4 ( 4 ) 2 + 2 ( 4 ) 1 substitute the values
=2(-64)-4(16)+2(-4)-1 evaluate the exponents
-128-64-8-1 perform multiplication
-201 remainder
Perform synthetic division to determine the remainder:
polyhorner scheme [ x = 4 ] { 2 x 3 4 x 2 + 2 x 1 }
Result:
P(-4)=-201

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